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The transfer matrix formalism provides a compact way to describe \
electromagnetic fields within stratified thin film systems.  It is formulated \
using boundary conditions to describe how waves moving towards and away from \
a point at an interface on both sides of the boundary of dissimilar media \
must be related.  \
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For a wave incident on a planar interface, there will be a reflected wave and \
a transmitted wave. For s-polarized electric field of light (transverse \
electric or TE polarized) the electric field is perpendicular to the plane of \
incidence.  For p-polarized electric field of light (transverse magnetic or \
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The axes system for electric and magnetic fields is chosen so that the normal \
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transverse field is then dictated by the \"right hand rule\" from classical \
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We are interested in only the tangential (to the interface) components of \
each field.  Thus, the required continuity dictates the total field on one \
side of the interface must be equal to the total field on the opposite side.  \
The axes system and resulting equalities are collected in Fig. 1:\
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Fig. 1  At the root of the formalism is the definition of the axes system \
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